Strong solidity of group factors from lattices in SO(n,1) and SU(n,1)

Details Strong solidity of group factors from lattices in SO(n,1) and SU(n,1) Strong solidity of group factors from lattices in SO(n,1) and SU(n,1)

2010-09-12

arxiv.org/abs/1009.2247v1

J. Functional Analysis, vol. 260 (2011), 3209--3221

Mathematics

Operator Algebras

Scientific paper

10.1016/j.jfa.2010.12.017

We show that the group factors of ICC lattices in either SO(n,1) or SU(n,1),
n \geq 2, are strongly solid in the sense of Ozawa and Popa. This strengthens a
result of Ozawa and Popa showing that these factors do not have Cartan
subalgebras.

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